Acta Mathematica Vietnamica
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On Properties of Expansive Group Actions
Ali Barzanouni , Mahin Sadat Divandar , Ekta Shahpp. 923-934
Abstract
We study several properties of expansive group actions on metric spaces and obtain some relations between the expansivity for subgroup and group actions. Through counter examples, the necessity of hypothesis is justified. We also study the expansivity of covering maps. Further, we define orbit expansivity for group actions on topological spaces and use it to characterize expansive actions.